Search a number
-
+
13010123332100 = 2252130101233321
BaseRepresentation
bin1011110101010010011111…
…0001111001101000000100
31201001202101212100002020102
42331110213301321220010
53201124213033111400
643400433530423232
72511643661453216
oct275244761715004
951052355302212
1013010123332100
1141666204a1a64
121561547b91b18
13734b0709835b
1432d99c6d05b6
151786532a79d5
hexbd527c79a04

13010123332100 has 18 divisors (see below), whose sum is σ = 28231967630874. Its totient is φ = 5204049332800.

The previous prime is 13010123332027. The next prime is 13010123332103. The reversal of 13010123332100 is 123332101031.

13010123332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 425565741316 + 12584557590784 = 652354^2 + 3547472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13010123332103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65050616561 + ... + 65050616760.

Almost surely, 213010123332100 is an apocalyptic number.

13010123332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010123332100 is an abundant number, since it is smaller than the sum of its proper divisors (15221844298774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13010123332100 is a wasteful number, since it uses less digits than its factorization.

13010123332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130101233335 (or 130101233328 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13010123332100 its reverse (123332101031), we get a palindrome (13133455433131).

The spelling of 13010123332100 in words is "thirteen trillion, ten billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 130101233321 260202466642 520404933284 650506166605 1301012333210 2602024666420 3252530833025 6505061666050 13010123332100